Least Common Multiple of 11/64, 65/82, 47/49, 40/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/64, 65/82, 47/49, 40/191 quickly i.e. 268840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/64, 65/82, 47/49, 40/191 is 268840.

LCM(11/64, 65/82, 47/49, 40/191) = 268840

LCM of 11/64, 65/82, 47/49, 40/191

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 11/64,65/82,47/49,40/191

Given numbers are 11/64,65/82,47/49,40/191

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 11,65,47,40

Least Common Multiple of Numerators i.e. LCM of 11,65,47,40 is 268840.

GCF of Denominators means GCF of 64,82,49,191 as per the given fractions.

GCF of 64,82,49,191 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,65,47,40

LCM of Fractions 11/64,65/82,47/49,40/191 is 268840

5 11, 65, 47, 40
11, 13, 47, 8

∴ So the LCM of the given numbers is 5 x 11 x 13 x 47 x 8 = 268840

Least Common Multiple of 11,65,47,40 with GCF Formula

Least Common Multiple of 11,65,47,40 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 11,65,47,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,65,47,40) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(11,65,47,40) x common factors =1 x 5 = 5

LCM(11,65,47,40) = ( 11 × 65 × 47 × 40 ) / 5

LCM(11,65,47,40) = 1344200 / 5

LCM(11,65,47,40) = 268840


Lets's calculate GCF of 64,82,49,191

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268840/1

Therefore the LCM of Fractions 11/64,65/82,47/49,40/191 is 268840

Greatest Common Factor of 64,82,49,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,82,49,191 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 64,82,49,191 . The biggest common factor number is the GCF number.
So the greatest common factor 64,82,49,191 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 11/64, 65/82, 47/49, 40/191

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 11/64, 65/82, 47/49, 40/191?

Answer: LCM of Numerators as per given numbers 11/64, 65/82, 47/49, 40/191 is

LCM of Numerators i.e. for 11,65,47,40 is 268840

GCF of denominators i.e. for 64,82,49,191 is 1.

Thus, LCM of Fractions is 268840.Finally, LCM of Fractions for 11/64, 65/82, 47/49, 40/191 is 268840.